Maine Learning Results: Mathematics - D. Algebra
Symbols and Expressions
Grade 9 - Diploma 1. Students understand and use polynomials and expressions with rational exponents.
b. Add, subtract, and multiply polynomials.
What understandings are desired?
Students will understand that:(U)
• There are multiple ways to solve a polynomial expression.
• Visual representations can be used to derive polynomial expressions. .
• Polynomial expressions can be used in real world applications.
What essential questions will be considered?
Essential Questions:(Q)
• Why are there multiple ways to solve a polynomial expression and what are they?
• How can you use visual representations to derive polynomial expressions?
• How can polynomial expressions be used in the real world?
What key knowledge and skills will students acquire as a result of this unit?
Students will know:(K)
Students will be able to do:(S)
• Vocabulary: polynomial, leading term, constant term, FOIL method, leading coefficient, polynomial function, linear function, horizontal method, vertical method
• Critical details: exponential applications, "like" terms
• Definition: polynomial
• Justify how visual representations are used to solve and express polynomial expressions.
• Illustrate how polynomial expressions can be multiplied by using the horizontal, vertical or FOIL methods.
• b. Solve addition, subtraction, and multiplication problems that involve polynomials.
• Compare and choose which of the different methods of solving polynomial expressions best suits them.
• Relate the visual representations of polynomials to the mathematical solutions.
• Recognize some practical uses of polynomial functions in the real world.
Stage 1 Identify Desired Results
Symbols and Expressions
Grade 9 - Diploma
1. Students understand and use polynomials and expressions with rational exponents.
b. Add, subtract, and multiply polynomials.
What understandings are desired?
• Visual representations can be used to derive polynomial expressions. .
• Polynomial expressions can be used in real world applications.
What essential questions will be considered?
• How can you use visual representations to derive polynomial expressions?
• How can polynomial expressions be used in the real world?
What key knowledge and skills will students acquire as a result of this unit?
• Critical details: exponential applications, "like" terms
• Definition: polynomial
• Illustrate how polynomial expressions can be multiplied by using the horizontal, vertical or FOIL methods.
• b. Solve addition, subtraction, and multiplication problems that involve polynomials.
• Compare and choose which of the different methods of solving polynomial expressions best suits them.
• Relate the visual representations of polynomials to the mathematical solutions.
• Recognize some practical uses of polynomial functions in the real world.
2004 ASCD and Grant Wiggins and JayMcTighe